A hiker walks 200m west and then walk 100 m North  in what direction is his/her resulting displacement? draw the figure to show your answer.

 

This sounds like homework (moved to HW help) and we’re not going to do it for you.

What have you done thus far?

Have you ever taken a trigonometry course.   If so what can you say about the angles in a right triangle with one leg twice as long as the other?  You may need a calculator with trig function and their inverse functions.

Since it has been a month, a right triangle with one leg of length 200 m and the other of length 100 m has hypotenuse of length $\sqrt{100^2+ 200^2}= \sqrt{10000+ 40000}= \sqrt{50000}$ or about 223.6 m.  That is the straight line distance from the hiker's end point back to his starting point.  the direction is $\arctan(\frac{200}{100})= \arctan(2)$ which is about 63.3 degrees east of south (so 90- 63.3= 26.7 degrees southeast).